关于广义Abstract，II
On Generalised Abundance, II
摘要：
在我们以前的工作中，我们介绍了广义非零猜想，它概括了代数几何中的几个中心定理。在本文中，我们得到了一些令人惊讶的非零结果的pluricanonical束，没有预测的极小模型计划，取得进展的广义非零猜想在每一个维度。主要步骤是建立一个更强的版本的广义非零猜想几乎总是在存在的度量与广义代数奇点，假设极小模型计划在较低的维度。
英文摘要：
In our previous work, we introduced the Generalised Nonvanishing Conjecture, which generalises several central conjectures in algebraic geometry. In this paper, we derive some surprising nonvanishing results for pluricanonical bundles which were not predicted by the Minimal Model Program, by making progress towards the Generalised Nonvanishing Conjecture in every dimension. The main step is to establish that a somewhat stronger version of the Generalised Nonvanishing Conjecture holds almost always in the presence of metrics with generalised algebraic singularities, assuming the Minimal Model Program in lower dimensions.
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